Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

x plus a over ax = b over x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.

Question

Colby

Mathematics

12 August, 23:30

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

x plus a over ax = b over x

Part 1. Show all work to solve for x in the equation and check the solution.

Part 2. Explain how to identify the extraneous solution and what it means.

+3

Answers (1)

Know the Answer?

Alice Lyons · Answer 1

Lets solve the equation step by step:

(x + a) / ax = b/x

therefore: a! = 0, x!=0

now we solve:

(x + a) / ax = b/x

(x + a) / a = b

x + a = ab

x = a (b - 1)

that is the solution for b, and we keep in mind that a! = 0, x!=0, the extraneous solutions